Least Common Multiple of 3274 and 3280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3274 and 3280 the smallest integer that is 5369360 that is divisible by both numbers.

Least Common Multiple (LCM) of 3274 and 3280 is 5369360.

LCM(3274,3280) = 5369360

LCM of 3274 and 3280

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3274 and 3280

LCM of 3274 and 3280 is 5369360

Least common multiple can be found by multiplying the highest exponent prime factors of 3274 and 3280. First we will calculate the prime factors of 3274 and 3280.

Prime Factorization of 3274


2 3274
1637 1637
1

Prime factors of 3274 are 2,1637. Prime factorization of 3274 in exponential form is:

3274 = 21×16371

Prime Factorization of 3280


2 3280
2 1640
2 820
2 410
5 205
41 41
1

Prime factors of 3280 are 2, 5,41. Prime factorization of 3280 in exponential form is:

3280 = 24×51×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3274 and 3280.

LCM(3274,3280) = 24×51×411×16371
LCM(3274,3280) = 5369360

Factors of 3274

List of positive integer factors of 3274 that divides 3274 without a remainder.

1, 2, 1637, 3274

Factors of 3280

List of positive integer factors of 3280 that divides 3280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640, 3280

Least Common Multiple of 3274 and 3280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3274 and 3280, than apply into the LCM equation.

GCF(3274,3280) = 2
LCM(3274,3280) = ( 3274 × 3280) / 2
LCM(3274,3280) = 10738720 / 2
LCM(3274,3280) = 5369360

Properties of LCM 3274 and 3280

(i) The LCM of 3280 and 3274 is associative

LCM of 3274 and 3280 = LCM of 3280 and 3274

Related Least Common Multiples of 3274

Related Least Common Multiples of 3280

Frequently Asked Questions on LCM of 3274 and 3280

1. What is the LCM of 3274 and 3280?

Answer: LCM of 3274 and 3280 is 5369360.

2. What are the Factors of 3274?

Answer: Factors of 3274 are 1, 2, 1637, 3274. There are 4 integers that are factors of 3274. The greatest factor of 3274 is 3274.

3. What are the Factors of 3280?

Answer: Factors of 3280 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640, 3280. There are 20 integers that are factors of 3280. The greatest factor of 3280 is 3280.

4. How to Find the LCM of 3274 and 3280?

Answer:

Least Common Multiple of 3274 and 3280 = 5369360

Step 1: Find the prime factorization of 3274

3274 = 2 x 1637

Step 2: Find the prime factorization of 3280

3280 = 2 x 2 x 2 x 2 x 5 x 41

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 5369360 = 2 x 2 x 2 x 2 x 5 x 41 x 1637

Step 4: Therefore, the least common multiple of 3274 and 3280 is 5369360.